Question

given the verticeS P(-5,2), Q(-1,-5), R(9,10) prove uSing Slopes that PQR is a right triangle

Answer 1

Find triangle's sides and they should be:
a<b+c
b<a+c
c<a+b

Answer 2

find the slopes:
1) between P and Q
2) between Q and R
3) between P and R

if two lines are perpendicular to each other, then the product of their slopes = -1

use this fact to show PQR is a right triangle.

Answer 3

there are many ways to skin a cat

Answer 4

is slope is same word as side?

Answer 5

no

Answer 6

slope = rise/run

Answer 7

Things get tricky when you find that one of the slopes is NaN

Answer 8

so PR PQ RQ is sides and slopes isn't it?

Answer 9

well, each side has a slope associated with it :-P

Answer 10

for two point with coordinate (x1, y1) and (x2, y2),
slope = (y2-y1)/(x2-x1)
side = distance between these two points

Answer 11

well what do you get ?

Answer 12

\(y=\mbox{k}x+\mbox{b}\)
k is slope right?

Answer 13

yes

Answer 14

@mikow - the 3 slopes I get are \(\frac{-7}{4}, \frac{3}{2} and \frac{4}{7}\)

Answer 15

the products of the slopes -7/4 and 4/7 is -1, so the two lines with those slopes denote the right angle of the right triangle

Answer 16

@asnaseer .. we're the Same :)

Answer 17

what about poor @agdgdgdgwngo :(

Answer 18

good - glad you got there in the end :-)
@agdg... (why is your name tag so difficult to type) - yes you were also right :-)

Answer 19

dont be Sad :)

Answer 20

be happy like JOLLIBEE AHAHAHHA LOL

Answer 21

it;s easy to type::
1. place your left pinky on the shift button, your left ring-finger on the a button, and your index finger on the g button.
2. press shift and a
3. release shift
4. press g
5. move your middle finger over the d button.
6 repeat three times: press the d button and the g button, in order
7. type in "wngo"

Answer 22

LOL! - do you hold special training sessions that I can attend? ;-)

Answer 23

yeah only 50 (insert your currency) per hour!

Answer 24

tnx to both of you :)

Answer 25

@agdgdgdgwngo - JUST in case case your name really is agdgdgdgwngo - I mean no offence by my remarks - it's all in jest. and I can only type with my index fingers as I never mastered touch typing :-(

Answer 26

no shame in hunt-and-peck style typing : http://en.wikipedia.org/wiki/Typing#Hunt_and_peck

Answer 27

lol^

Answer 28

Wow! I never new there was a term for my disability ;-)

Answer 29

wait, its a disablility

Answer 30

:-D

Answer 31

lets just call it a "special" talent shall we :-)

Answer 32

show that the nearest distance from the common point to the plane is
lA.BxCl / lAxB+BxC+CxAl­­